Mathematical Calculators

Shannon Diversity Index Calculator

The Shannon biodiversity index calculator can be used to calculate the diversity of species in a community. Ecologists can use the Shannon diversity index to gain useful information about habitat.

Shannon Diversity Index Calculator

Table of contents

What is the Shannon diversity indicator?
How do you calculate the Shannon diversity indicator?
Example of how Shannon diversity index can be calculated
What is the Shannon diversity index?
How do you interpret the Shannon diversity indicator?
Can Shannon's diversity index exceed 1?

What is the Shannon diversity indicator?

The Shannon diversity indicator (a.k.a. The Shannon-Wiener diversity indicator is a popular metric in ecology. It is based on Claude Shannon's formula for entropy estimates species diversity. The index considers the diversity of species in a given habitat (richness) and their relative abundance (evenness).

How do you calculate the Shannon diversity indicator?

Use the Shannon diversity indicator formula:
ₕ ₌ ₋∑[₍ₚᵢ₎ × ₗₙ₍ₚᵢ₎]
To calculate the percentage of each species, divide the total number in the community by the number of individuals within that species.
Multiply the species' proportions by the logarithm.
Sum all numbers starting at step 2.
Multiply by -1.

Example of how Shannon diversity index can be calculated

Let's say we have to determine the species diversity of a portion of a rainforest. In the area we are interested, there are five scarlet macaws and 13 blue morpho butterflies. 2 capybaras, five three-toed sloths, one jaguar, and five capybaras.
We will use the Shannon diversity formula to calculate diversity
ₕ ₌ ₋∑[₍ₚᵢ₎ * ₗₙ₍ₚᵢ₎]
We need to know the number of people.
Calculate the percentage of each species in the entire community (third column on the table).
Multiply ln (pi) by pi to get the answer to three decimal positions (fourth column).
Add all the numbers in the last column to get the Shannon-Wiener diversity equation. We can multiply them by one immediately and ignore the minus signs because we did not want to do that.
Here is our rounded Shiner diversity index: H ≈ ₁.₃.

What is the Shannon diversity index?

The Shannon diversity index shows how many species are in a community. It increases with increasing numbers of species and increased evenness of their abundance.
Species Number of individuals (n) Proportion pi = n / N ln(pi) Pi * ln(pi)
Scarlet Macaw 5 0.2 -1.609 -0.322
Blue Morpho Butterfly 12 0.48 -0.734 -0.352
Capybara 2 0.08 -2.526 -0.202
Three-Toed Sloth 5 0.2 -1.609 -0.322
Jaguar 1 0.04 -3.219 -0.129

How do you interpret the Shannon diversity indicator?

The higher an index is, the more diverse species are within the habitat. If the index is equal to 0, there will be only one species in the community.
You may find it easier to understand the result if E = / ln (k). k is the number species. The value of evenness is between 0 to 1 (or you can consider it a percentage). Keep in mind that the greater the diversity, the lower the evenness.

Can Shannon's diversity index exceed 1?

The Shannon diversity index can be more than 1. The index for a community with six species and 100 members is around 1.79. The Shannon index should not be confused with evenness. Evenness is another common metric used in ecology. It takes values between 0 to 1.

Parmis Kazemi
Article author
Parmis Kazemi
Parmis is a content creator who has a passion for writing and creating new things. She is also highly interested in tech and enjoys learning new things.

Shannon Diversity Index Calculator English
Published: Tue Mar 29 2022
In category Mathematical calculators
Add Shannon Diversity Index Calculator to your own website

Other mathematical calculators

Vector Cross Product Calculator

30 60 90 Triangle Calculator

Expected Value Calculator

Online Scientific Calculator

Standard Deviation Calculator

Percentage Calculator

Fractions Calculator

Pounds To Cups Converter: Flour, Sugar, Milk..

Circle Circumference Calculator

Double Angle Formula Calculator

Mathematical Root Calculator (square Root Calculator)

Triangle Area Calculator

Coterminal Angle Calculator

Dot Product Calculator

Midpoint Calculator

Significant Figures Converter (Sig Figs Calculator)

Arc Length Calculator For Circle

Point Estimate Calculator

Percentage Increase Calculator

Percentage Difference Calculator

Linear Interpolation Calculator

QR Decomposition Calculator

Matrix Transpose Calculator

Triangle Hypotenuse Calculator

Trigonometry Calculator

Right Triangle Side And Angle Calculator (triangle Calculator)

45 45 90 Triangle Calculator (right Triangle Calculator)

Matrix Multiply Calculator

Average Calculator

Random Number Generator

Margin Of Error Calculator

Angle Between Two Vectors Calculator

LCM Calculator - Least Common Multiple Calculator

Square Footage Calculator

Exponent Calculator (power Calculator)

Math Remainder Calculator

Rule Of Three Calculator - Direct Proportion

Quadratic Formula Calculator

Sum Calculator

Perimeter Calculator

Z Score Calculator (z Value)

Fibonacci Calculator

Capsule Volume Calculator

Pyramid Volume Calculator

Triangular Prism Volume Calculator

Rectangle Volume Calculator

Cone Volume Calculator

Cube Volume Calculator

Cylinder Volume Calculator

Scale Factor Dilation Calculator

Bayes Theorem Calculator

Antilogarithm Calculator

Eˣ Calculator

Prime Number Calculator

Exponential Growth Calculator

Sample Size Calculator

Inverse Logarithm (log) Calculator

Poisson Distribution Calculator

Multiplicative Inverse Calculator

Marks Percentage Calculator

Ratio Calculator

Empirical Rule Calculator


Sphere Volume Calculator

NPV Calculator

Percentage Decrease

Area Calculator

Probability Calculator

Fraction To Decimal Calculator